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Finding the Fourth Proportional to 210,162.84, 290,024.68 and 114,669.92

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Solution

The fourth proportional to 210,162.84, 290,024.68 and 114,669.92 is: 158,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,162.84 : 290,024.68 = 114,669.92 : x
  2. Step 2: Convert to fraction form
    210,162.84/290,024.68 = 114,669.92/x
  3. Step 3: Cross multiply
    210,162.84x = 290,024.68 × 114,669.92
  4. Step 4: Simplify right side
    210,162.84x = 33,257,106,853.63
  5. Step 5: Solve for x
    x = 33,257,106,853.63/210,162.84
  6. Step 6: Final answer
    x = 158,244.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.